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Scattering matrix of a directional coupler with ideal transformers

Scattering matrix of a directional coupler with ideal transformers

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A directional coupler suitable for operation in the low radio frequency range (1–100 MHz) can be built by using a combination of two transformers. An analysis of such a device, under the assumption that the transformers are ideal, leads to explicit equations for the scattering parameters of the directional coupler. Two different applications are analysed, one with a loose coupling and another with 3 dB coupling.

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